 | Robert Gibson - Surveying - 1806 - 486 pages
...will intersect each other. • NOTES. A theorem is a proposition, wherein something is proposed to be demonstrated. A problem is a proposition, wherein...remark or observation made upon something going before. THE SIGNIFICATION OF SIGNS. The sign =, denotes the quantities between which it stands to be equal.... | |
 | Isaac Dalby - Mathematics - 1807 - 968 pages
...proposed to be demonstrated. A Corollary is a consequent truth gained from some preceding truth or demonstration. A Scholium is a remark or observation made upon something going before it. A Lemma is something premised or demonstrated, in order to render what follows more easy. Or rut... | |
 | Robert Gibson - 1808 - 482 pages
...agree with each other, are equal. NOTES. A theorem is a proposition, wherein something is proposed to be demonstrated. A problem is a proposition, wherein something is to be done or effe&ed. A lemma is some demonstration, previous and necessary, to render what follows the more easy.... | |
 | Robert Gibson - Surveying - 1811 - 580 pages
...agree with each other, are equal. NOTES. A theorem is a proposition, wherein something is proposed to be demonstrated. A problem is a proposition, wherein...going before. • GEOMETRICAL THEOREMS. THEOREM I. PL. \,fig. 20. If a right line falls on another, as AB, or EB, doe» on CD, it either makes imth it two... | |
 | Charles Hutton - Mathematics - 1816 - 610 pages
...Corollory, is a consequent truth, gained immediately from some preceding truth or demonstration. 77. A Scholium, is a remark or observation made upon something going before it. AXIOMSAXIOMS. 1. THINGS which are equal to the same thing are equal to each other. 2. \Vhnn equals... | |
 | Robert Gibson - Surveying - 1818 - 502 pages
...agree with each other, are equal. NOTES. A theorem is a proposition, wherein something is proposed to be demonstrated. A problem is a proposition, wherein...or observation made upon , something going before. SIGNIFICATION OF SIGNS. The sign =, denotes the quantities between which it stands to be equal. The... | |
 | Robert Gibson - Surveying - 1821 - 594 pages
...each other, are equal. NOTE8. • * ' i , A theorem is a proposition, wherein something is proposed to be demonstrated. A problem is a proposition, wherein...consequent truth, deduced from a foregoing demonstration. if A scholium, is a remark or observation made upon something going before. GEOMETRlCAL THEOREM8. THEOREM... | |
 | Charles Hutton - Mathematics - 1822 - 616 pages
...Corollory, is a consequent truth, gained immediately from some preceding truth or demonstration. 77. A Scholium, is a remark or observation made upon something going before it. AXIOMS. AXIOMS. 1 . THINGS which are equal to the game thing are equal to each other. 2. When equals... | |
 | William Jillard Hort - 1822 - 308 pages
...proved. A lemma is something which is previously demonstrated, in order to render what follows more easy. A scholium is a remark, or observation, made upon something going before it. SIGNS OR CHARACTERS USED IN GEOMETRY. The sign = signifies that the quantities between which it... | |
 | William Grier - Mechanical engineering - 1832 - 366 pages
...Corollary, is a consequent truth, gained immediately from some preceding truth, or demonstration. 77. A Scholium, is a remark or observation made upon something going before it. THEOREMS. 1. In the two triangles ABC, DEP, if the side AC be equal to the side DF, and the side... | |
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A lemma is something which is premised, or demonstrated, in order to render what follows more easy. A corollary is a consequent truth derived immediately from some preceding truth or demonstration. 
